Base | Representation |
---|---|
bin | 1000111011001111011… |
… | …0101010010010010001 |
3 | 112122210121201110000200 |
4 | 2032303312222102101 |
5 | 10003020333243001 |
6 | 154235524205413 |
7 | 14035640411112 |
oct | 2166366522221 |
9 | 478717643020 |
10 | 153341306001 |
11 | 5a039195874 |
12 | 25875839869 |
13 | 115c98948c0 |
14 | 75c9440209 |
15 | 3ec70e1086 |
hex | 23b3daa491 |
153341306001 has 24 divisors (see below), whose sum is σ = 238762019496. Its totient is φ = 94272456960.
The previous prime is 153341305967. The next prime is 153341306009. The reversal of 153341306001 is 100603143351.
153341306001 is a `hidden beast` number, since 1 + 53 + 3 + 4 + 1 + 3 + 0 + 600 + 1 = 666.
153341306001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 77606816400 + 75734489601 = 278580^2 + 275199^2 .
It is not a de Polignac number, because 153341306001 - 29 = 153341305489 is a prime.
It is a super-2 number, since 2×1533413060012 (a number of 23 digits) contains 22 as substring.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (153341306009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513510 + ... + 755231.
It is an arithmetic number, because the mean of its divisors is an integer number (9948417479).
Almost surely, 2153341306001 is an apocalyptic number.
It is an amenable number.
153341306001 is a deficient number, since it is larger than the sum of its proper divisors (85420713495).
153341306001 is a wasteful number, since it uses less digits than its factorization.
153341306001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1269793 (or 1269790 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 27.
Adding to 153341306001 its reverse (100603143351), we get a palindrome (253944449352).
The spelling of 153341306001 in words is "one hundred fifty-three billion, three hundred forty-one million, three hundred six thousand, one".
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